
On the the physical side, its possible role in the quantum field theories for improving the renormalisation and solving the hierarchy problem (i.e. ensuring that all fundamental forces of Nature unify at very high energy, see e.g. [1]} III), a possible solution to the Montonen–Olive conjecture about electromagnetic duality for gauge theories by E. Witten and N. Seiberg, the theory of supergravity (see e.g. [2]} and the text by M. Eigeleh in this volume), the role of anticommuting variables in the BRST (Bechi–Rouet–Stora–Tyutin) theory of quantization of gauge theories (see e.g. [1]} II and [4]}, [5]}), etc., without mentioning the theories of superstrings and branes...

On the mathematical side, its application by E. Witten to Morse theory (see e.g. [5]}), the index theorem for Dirac operators (see e.g. [7]}, [8]}, [5]}), the topology of 4-dimensional manifold (the Seiberg–Witten theory), the mirror symmetry for Calabi–Aubin–Yau manifolds [10]}, [11]}, etc.

